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Finding the Fourth Proportional to 221,550.54, 305,738.19 and 120,948.54

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Solution

The fourth proportional to 221,550.54, 305,738.19 and 120,948.54 is: 166,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,550.54 : 305,738.19 = 120,948.54 : x
  2. Step 2: Convert to fraction form
    221,550.54/305,738.19 = 120,948.54/x
  3. Step 3: Cross multiply
    221,550.54x = 305,738.19 × 120,948.54
  4. Step 4: Simplify right side
    221,550.54x = 36,978,587,702.74
  5. Step 5: Solve for x
    x = 36,978,587,702.74/221,550.54
  6. Step 6: Final answer
    x = 166,908.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.